101434012240 has 80 divisors (see below), whose sum is σ = 266145108480. Its totient is φ = 35613186560.

The previous prime is 101434012219. The next prime is 101434012243. The reversal of 101434012240 is 42210434101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434012243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1961824 + ... + 2012863.

It is an arithmetic number, because the mean of its divisors is an integer number (3326813856).

Almost surely, 2^101434012240 is an apocalyptic number.

101434012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101434012240 is an abundant number, since it is smaller than the sum of its proper divisors (164711096240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101434012240 is a wasteful number, since it uses less digits than its factorization.

101434012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974740 (or 3974734 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101434012240 its reverse (42210434101), we get a palindrome (143644446341).

The spelling of 101434012240 in words is "one hundred one billion, four hundred thirty-four million, twelve thousand, two hundred forty".